Classifications

• • H—ELECTRICITY
  • H04—ELECTRIC COMMUNICATION TECHNIQUE
  • H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
  • H04N19/00—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
  • H04N19/10—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using adaptive coding
  • H04N19/134—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using adaptive coding characterised by the element, parameter or criterion affecting or controlling the adaptive coding
• • H—ELECTRICITY
  • H04—ELECTRIC COMMUNICATION TECHNIQUE
  • H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
  • H04N19/00—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
  • H04N19/90—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using coding techniques not provided for in groups H04N19/10-H04N19/85, e.g. fractals
  • H04N19/98—Adaptive-dynamic-range coding [ADRC]
• • H—ELECTRICITY
  • H04—ELECTRIC COMMUNICATION TECHNIQUE
  • H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
  • H04N19/00—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
  • H04N19/10—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using adaptive coding
  • H04N19/102—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using adaptive coding characterised by the element, parameter or selection affected or controlled by the adaptive coding
  • H04N19/103—Selection of coding mode or of prediction mode
• • H—ELECTRICITY
  • H04—ELECTRIC COMMUNICATION TECHNIQUE
  • H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
  • H04N19/00—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
  • H04N19/10—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using adaptive coding
  • H04N19/169—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using adaptive coding characterised by the coding unit, i.e. the structural portion or semantic portion of the video signal being the object or the subject of the adaptive coding
  • H04N19/186—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using adaptive coding characterised by the coding unit, i.e. the structural portion or semantic portion of the video signal being the object or the subject of the adaptive coding the unit being a colour or a chrominance component
• • H—ELECTRICITY
  • H04—ELECTRIC COMMUNICATION TECHNIQUE
  • H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
  • H04N19/00—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
  • H04N19/20—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using video object coding
• • H—ELECTRICITY
  • H04—ELECTRIC COMMUNICATION TECHNIQUE
  • H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
  • H04N19/00—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
  • H04N19/30—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using hierarchical techniques, e.g. scalability

Definitions

• the invention relates to information processing systems in general, and, more particularly, the invention relates to a method and apparatus for preserving a relatively high dynamic range of an information signal, such as a video information signal, processed via a relatively low dynamic range information processing system.
• MPEG Moving Pictures Experts Group
• MPEG-1 refers to ISO/IEC standards 11172 and is incorporated herein by reference.
• MPEG-2 refers to ISO/IEC standards 13818 and is incorporated herein by reference.
• a compressed digital video system is described in the Advanced Television Systems Committee (ATSC) digital television standard document A/53, and is incorporated herein by reference.
• ATSC Advanced Television Systems Committee
• the above-referenced standards describe data processing and manipulation techniques that are well suited to the compression and delivery of video, audio and other information using fixed or variable length digital communications systems.
• the above-referenced standards, and other "MPEG-like" standards and techniques compress, illustratively, video information using intra-frame coding techniques (such as run-length coding, Huffman coding and the like) and inter-frame coding techniques (such as forward and backward predictive coding, motion compensation and the like).
• intra-frame coding techniques such as run-length coding, Huffman coding and the like
• inter-frame coding techniques such as forward and backward predictive coding, motion compensation and the like.
• MPEG and MPEG-like video processing systems are characterized by prediction-based compression encoding of video frames with or without intra- and/or inter-frame motion compensation encoding.
• information such as pixel intensity and pixel color depth of a digital image is encoded as a binary integer between 0 and 2 n l .
• film makers and television studios typically utilize video information having 10-bit pixel intensity and pixel color depth, which produces luminance and chrominance values of between zero and 1023.
• 10-bit dynamic range of the video information may be preserved on film and in the studio
• the above-referenced standards typically utilize a dynamic range of only 8-bits.
• the quality of a film, video or other information source provided to an ultimate information consumer is degraded by dynamic range constraints of the information encoding methodologies and communication networks used to provide such information to a consumer.
• the invention comprises a method an concomitant apparatus for preserving the dynamic range of a relatively high dynamic range information stream, illustratively a high resolution video signal, subjected to a relatively low dynamic range encoding and/or transport process(es).
• the invention subjects the relatively high dynamic range information stream to a segmentation and remapping process whereby each segment is remapped to the relatively low dynamic range appropriate to the encoding and/or transport process(es) utilized.
• An auxiliary information stream includes segment and associated remapping information such that the initial, relatively high dynamic range information stream may be recovered in a post-encoding (i.e. decoding) or post-transport (i.e., receiving) process.
• a method for encoding an information stream comprising a plurality of information frames, the information frames comprising a plurality of information elements, each information element associated with at least one information element parameter, each information element parameter having a value between a lower limit and an upper limit, the upper and lower limits defining a dynamic range
• the method comprises the steps of: defining, for each information frame, a plurality of information regions, each information region being associated with one or more respective information elements; identifying, for each information region, a maximal value and a minimal value of at least one information element parameter associated with the information elements of the region; remapping, for each information region, the at least one information element parameter of each information element of the region according to the identified maximal and minimal level parameters associated with the respective region; encoding each remapped information region to produce an encoded information stream; and associating the identified maximal and minimal values with the respective remapped information regions.
• FIG. 1 depicts a information distribution system according to the invention
• FIG. 2 is a flow diagram of an information stream encoding and decoding method according to the invention.
• FIG. 3A depicts an image that has been divided into a plurality of regions using a pixel coordinate technique
• FIG. 3B depicts an image that has been divided into a plurality of single macroblock regions defined by row and column;
• FIG. 4A depicts a diagram illustrative of a non-linear encoding function
• FIG. 4B depicts a diagram illustrative of a non-linear decoding function associated with the encoding function of FIG. 4A.
• FIG. 5 depicts a high level function block diagram of an encoding and decoding method and apparatus according to the invention. To facilitate understanding, identical reference numerals have been used, where possible, to designate identical elements that are common to the figures.
• FIG. 1 depicts an information distribution system 100 according to the invention.
• FIG. 1 depicts an information coding, transport and decoding system 100 that encodes, illustratively, a 10-bit dynamic range information stream using a pre-processing function according to the invention to produce a range enhancement information stream, and an 8-bit encoding process, illustratively an MPEG-like encoding process, to produce an 8-bit encoded information stream.
• the 8-bit encoded information stream and the range enhancement information stream are transported in a standard manner to, e.g., a receiver.
• the 8-bit encoded information stream is subjected to a decoding process, illustratively an MPEG-like decoding process, to produce an 8-bit decoded information stream.
• a post-processing function according to the invention utilizes the range enhancement information stream to enhance the dynamic range of the 8-bit decoded information stream such that the original 10-bit dynamic range is substantially restored.
• the information distribution system 100 of FIG. 1 comprises an information coding section (10-30) suitable for use by, illustratively, an information provider such as a television studio; an information distribution section (35), illustratively a standard communication channel such as a terrestrial broadcast channel; and an information decoding section (40-60), suitable for use by, illustratively, an information consumer having an appropriate decoding device.
• the information coding section comprises a region map and scale unit 10 that receives a relatively high dynamic range information signal SI, illustratively a 10-bit dynamic range video signal, from an information source such as a video source (not shown).
• the region map and scale unit 10 divides each picture-representative, frame-representative or field-representative portion of the 10-bit video signal SI into a plurality of, respectively, sub-picture regions, sub-frame regions or sub-field regions.
• the operation of region map and scale unit 10 will be described in more detail below with respect to FIG 2. Briefly, each of the plurality of regions are processed to identify, illustratively, a maximum luminance level (Y MAX ) and a minimum luminance level (Y M1N ) utilized by pixels within the processed region.
• Y MAX maximum luminance level
• Y M1N minimum luminance level
• the luminance information within each region is then scaled (i.e., remapped) from the original 10-bit dynamic range (i.e., 0 to 1023) to an 8-bit dynamic range having upper and lower limits corresponding to the identified minimum luminance level (Y MIN ) and maximum luminance level (Y MAX ) of the respective region to produce, at an output, an 8-bit baseband video signal S3.
• the maximum and minimum values associated with each region, and information identifying the region are coupled to an output as a map region ID signal S4.
• a video encoder 15 receives the remapped, 8-bit baseband video signal S3 from the region map and scale unit 10.
• the video encoder 15 encodes the 8-bit baseband video signal to produce a compressed video signal S5, illustratively an MPEG-like video elementary stream.
• An audio encoder 20 receives a baseband audio signal S2 from an audio source (not shown).
• the baseband audio signal S2 is, typically, temporally related to the baseband video signal S3.
• the audio encoder 20 encodes the baseband audio signal to produce a compressed audio signal S16, illustratively an MPEG-like audio elementary stream. It must be noted that audio encoder 20, and other audio functionality to be described later, is not strictly necessary to the practice of the invention.
• a service multiplexer 25 wraps the map region ID signal S4, the video elementary stream S5 and the audio elementary stream S16 into respective variable-length or fixed length packet structures known as packetized elementary streams.
• the packetized elementary streams (PES) are combined to form a multiplexed PES S6.
• the PES structure provides, e.g., functionality for identification and synchronization of decoding and presentation of the video, audio and other information.
• a transport encoder 30 converts the PES packets of multiplexed PES S6 into fixed-length transport packets in a known manner to produce a transport stream S7.
• the information distribution section comprises a communications network 35, illustratively a terrestrial broadcast, fiber optic, telecommunications or other public or private data communications network.
• the communications network receives the transport stream S7 produced by the information coding section; modulates or encodes the transport stream S7 to conform to the requirements of the communications network (e.g., converting the MPEG transport stream S7 into an asynchronous transfer mode (ATM) format); transmits the modulated or encoded.
• ATM asynchronous transfer mode
• the modulated or encoded transport stream to, e.g., a receiver; and demodulates or decodes the modulated or encoded transport stream to produce an output transport stream S8.
• the information decoding section comprises a transport decoder 40 that converts the received transport stream S8 into a multiplexed PES S9.
• the multiplexed PES S9 is demultiplexed by a service demultiplexer 45 to produce a map region ID signal S14, a video elementary stream S12 and an audio elementary stream S10 corresponding to, respectively, map region ID signal S4, video elementary stream S5 and audio elementary stream S16.
• the video elementary stream S12 is decoded in a known manner by a video decoder 55 to produce, an 8-bit baseband video signal S13 corresponding to the remapped 8-bit baseband video signal S3.
• the audio elementary stream S10 is decoded in a known manner by an audio decoder 50 to produce a baseband audio output signal Sll, corresponding to the baseband audio signal S2, which is coupled to an audio processor (not shown) for further processing.
• An inverse region map and scale unit 60 receives the 8-bit baseband video signal S13 and the map region ID signal S14.
• the inverse region map and scale unit 60 remaps the 8-bit baseband video signal S 13, on a region by region basis, to produce a 10-bit video signal S15 corresponding to the original 10-bit dynamic range video signal SI.
• the produced 10-bit video signal is coupled to a video processor (not shown) for further processing.
• the operation of inverse region map and scale unit 60 will be described in more detail below with respect to FIG. 2.
• the inverse region map and scale unit 60 retrieves, from the map region ID signal S14, the previously identified maximum luminance level (Y MAX ) and a minimum luminance level (Y MIN ) associated with each picture, frame or field region, and any identifying information necessary to associate the retrieved maximum and minimum values with a particular region within the 8-bit baseband video signal S13.
• the luminance information associated with each region is then scaled (i.e., remapped) from the 8-bit dynamic range bounded by the identified minimum luminance level (Y M1N ) and maximum luminance level (Y MAX ) associated with the region to the original 10-bit (i.e., 0-1023) dynamic range to produce the 10-bit video signal S15.
• FIG. 2 is a flow diagram of an information stream encoding and decoding method according to the invention.
• the routine 200 is entered at step 210 when a relatively high dynamic range information stream comprising a plurality of logical information frames is received by, e.g., region map and scale unit 10.
• the routine 200 proceeds to step 215, where each logical information frame of the received information stream is divided into regions according to, illustratively, the criteria depicted in box 205 which includes: fixed or variable coordinate regions based on picture, frame, field, slice macroblock, block and pixel location, related motion vector information and the like.
• any exemplary region comprises a macroblock region size.
• a parameter of interest may comprise a luminance parameter (Y) , color difference parameter (U, N), motion vector and the like.
• the routine 200 then proceeds to step 225, where the parameters of interest in each pixel of each region are remapped to a parameter value range bounded by respective maximum and minimum parameter values. That is, if the parameter of interest of a pixel is a luminance parameter, all the luminance parameters within a particular region are remapped to a range determined by the maximum luminance value and the minimum luminance value within the particular region as previously determined in step 220.
• the above described steps of regional division of logical frames, maximum and minimum parameter(s) determination and remapping comprise the steps necessary to generate an information stream and an associated dynamic range enhancements stream.
• dynamic range degradation visited upon the information stream to due a subsequent, relatively low dynamic range processing step may be largely corrected by a second, subsequent processing step (e.g., steps 240-245 below).
• a second, subsequent processing step e.g., steps 240-245 below.
• the routine 200 proceeds to step 230, where the information within the region is encoded in a standard manor, to produce an encoded information stream.
• a standard encoding may comprise one of the MPEG-like encoding standards referenced above.
• the routine 200 then proceeds to step 235, where the encoded information stream, maximum and minimum data associated with each region of the encoded information stream, and information sufficient to associate each region with its respective maximum and minimum parameter(s) information are transported, in a standard manner to, e.g., a receiver.
• the routine 200 then proceeds to step 240, where the encoded information stream is decoded in a standard manner to produce a decoded information stream.
• the dynamic range of the decoded information stream specifically the dynamic range of the parameters of interest in the decoded information stream, will not exceed the dynamic range of the encoding or processing methodology employed in, e.g., steps 230-235.
• steps 230-235 the dynamic range of the encoding or processing methodology employed in, e.g., steps 230-235.
• MPEG-like encoding and decoding methodology which utilizes an eight bit dynamic range will produce, at the decoder output, a video information stream having only an eight bit dynamic range luminance parameter.
• step 240 After decoding the transported information stream (step 240), the routine 200 proceeds to step 245, where the eight bit dynamic range decoded information stream is remapped on a region by region basis using the respective maximum and minimum values associated with the parameter or parameters of interest in each region. The resulting relatively high dynamic range information stream is then utilized at step 250.
• routine 200 related to regional division and remapping will now be described in more detail below.
• relationship of the invention to information streams in general, and video information streams in particular, will also be described in more detail.
• Information streams are typically segmented or framed according to a logical constraint.
• Each logical segment or frame comprises a plurality information elements, and each information element is typically associated with one or more parameters.
• video information streams are typically segmented in terms of a picture, frame or field.
• the picture, frame or field comprises a plurality of information elements known as picture elements (pixels).
• pixels picture elements
• Each pixel is associated with parameters such as luminance information and chrominance information.
• pixels are grouped into blocks or macroblocks. Pixels, blocks and macroblocks may also be associated with motion parameters and other parameters.
• Each of the parameters associated with a pixel, block or macroblock is accurate to the extent that the dynamic range of the information defining the parameter is accurate.
• preservation of the dynamic range of some parameters is more critical than preservation of the dynamic range of other parameters, such as block motion.
• degradation of some parameters due to dynamic range constraints may be acceptable, while other parameters should be preserved with as high a fidelity as possible.
• luminance parameters in an image comprising very light areas (i.e., high intensity values) and very dark areas (i.e., low intensity values), the dynamic range of the luminance information representing the image may be fully utilized. That is, the value of luminance parameters associated with pixels in the image be between (in a 10-bit dynamic range representation) from zero (black) to 1023 (white).
• the dynamic range of the luminance information representing the image illustratively a 10-bit studio image
• the dynamic range of an information processing operation used to process the image illustratively an 8-bit MPEG encoding operation
• quantization errors will necessarily degrade the resulting processed image.
• the probability that the full 10-bit dynamic range of the luminance information is utilized in a region decreases.
• Regions may be selected according to any intra-frame selection criteria.
• appropriate criteria include scan lines, regions defined by pixel coordinates, blocks, macroblocks, slices and the like.
• the smaller the region selected the greater the probability of preserving the full dynamic range of the information element parameter.
• FIG. 3A depicts an image 300 that has been divided into a plurality of regions 301-307 using a pixel coordinate technique.
• identifying indicia of region location comprise pixel coordinates defining, e.g., corners or edges of the regions.
• FIG. 3B depicts an image 300 that has been divided into a plurality of single macroblock regions defined by row (R,-R N ) and column (C,-C N ). Since the regions defined in FIG. 3B are much smaller then the regions defined in FIG. 3A, there is a greater probability of preserving the dynamic range of the parameters of interest forming the image.
• identifying indicia of region location comprise macroblock address, as defined by row (i.e., slice) number and column number.
• a simpler method of region identification comprises identifying each region (i.e., macroblock) by a macroblock offset value representing the number of macroblocks from the start of a picture (i.e., the number of macroblocks from the top left, or first, macroblock).
• equation 1 In the case of remapping a 10-bit pixel (such as used in a studio) to an 8-bit pixel (such as used in MPEG-like processing systems), equation 1 becomes equation 2.
• the 8-bit pixel back to a 10-bit pixel equation 1 becomes equation 3.
• L J the quantities or results within the floor function operators L J are rounded down to the nearest integer value.
• TP LOP * (256/1024) + 0.5-j (eq. 2)
• TP LOP * (1024/256) + 0.5-j (eq. 3)
• equation 4 becomes equation 5.
• TP L (OP - MIN)* (TR ⁇ MAX-MIN)) + O. ⁇ J (eq. 4)
• a function such as equation 4 will be able to preserve the relatively high dynamic range of the original pixel parameter as long as the difference between the maximum and minimum parameter values does not exceed a range defined by the ration of the original dynamic range and the target dynamic range. That is, in the case of a 10-bit original dynamic range and an 8-bit target dynamic range where the ration is 1023:255 (i.e., 4:1), the difference between the maximum and minimum values must not be greater than one fourth of the original dynamic range.
• a threshold level of dynamic range for each region is established that determines if the full, original dynamic range of the parameter will be preserved by the invention. Since, in equation 5, the difference between the maximum (600) and minimum (400) is less than one fourth of the 10-bit dynamic range (256), full 10- bit dynamic range will be preserved.
• equations 4 and 5 should not in any way be construed as limiting the scope of the invention. Rather, equations 4 and 5 are presented as only one of a plurality of linear functions suitable for use in the invention.
• the invention may also be practiced using non-linear functions (such as gamma correction and companding functions). Moreover, the invention may be practiced using a combination of linear and non-linear functions to optimize data compaction.
• the linear and/or non-linear functions selected will vary depending on the type of information stream being processed, the typical distribution of parameters of interest within the information elements of that stream, the amount of dynamic range allowed for a given application, the processing constraints of the encoder and/or decoder operating on the information streams and other criteria.
• the above-described invention advantageously provides substantially full dynamic range preservation of selected information element parameters in an information frame.
• the cost, in terms of extra bits necessary to implement the invention, e.g., the overhead due to the use of minimum and maximum pixel values for each region of a picture, will now be briefly discussed. Specifically, the additional number of bits to be transported by, e.g., the communications network 35 of FIG. 1 will be discussed.
• a small region size is selected, such as a 16x16 block of 8-bit pixels (monochrome).
• Adding two 10-bit values, a minimum and a maximum, to this block increases the number of bits by 20 to 2068 bits, or an increase of about 1%.
• the pixel intensity resolution is never worse than 8 bits, and may be as high as 10 bits, a factor of four improvement in the intensity depth resolution.
• the luminance (Y) and color difference (U, N) signals each have 10-bit dynamic range.
• a small region size is selected, such as a 16x16 block of 8-bit pixels.
• adding six 10-bit values, a minimum and a maximum for each of the luminance (Y) and color difference (U, N) signals, to this block increases the number of bits by 60 to 6204 bits, or an increase of about 1%.
• each of the luminance (Y) and color difference (U, N) signals are never worse than 8 bits, and may be as high as 10 bits, a factor of four improvement in the respective intensity and color depth resolutions.
• the invention provides a substantial improvement in dynamic range without a correspondingly substantial increase in bit count.
• the invention leverages the cost-savings of existing 8-bit chipsets to provide a 10-bit (or higher) effective dynamic range.
• the above-described embodiments of the invention achieve the desired result using linear compaction methods. However, in some applications it is desirable to process information using non-linear methods.
• analog video signals are non-linearly processed (i.e., "gamma corrected") to compensate for non-linearity in, e.g., picture tubes in television sets.
• Non-linear mapping methods according to the invention may be used to implement gamma correction and other functions while preserving the dynamic range of the underlying signal.
• linear and non-linear methods may be used together
• Another scenario appropriate for non-linear processing in the mapping function occurs when there is a loss of accuracy because the original range and the target range are too far apart, even with the above-described intensity compaction methods.
• non-linear mapping is used to preserve the original pixel values (i.e., dynamic range) over some part of the range. This situation is depicted below with respect to FIGS. 4A and 4B, where the information located within a lower bit range (e.g., 0-131) is illustratively deemed to be more important than the information located within an upper bit range (e.g., 132-1023).
• FIG. 4A depicts a diagram 4 illustrative of a non-linear encoding function.
• the diagram comprises an original dynamic range 410 A of 1024 bits and a target dynamic range 420A of 255 bits.
• a signal 430A, 440A having a 1024 bit dynamic range is remapped into the 255 bit dynamic range space in two segments.
• the first segment 430A utilizes a substantially linear transfer function, while the second segment 440A utilizes a compressed transfer function. That is, the range of 0-131 in the original map is retained in the target map, while the range of 132 to 1023 in the original map is compressed into the 132-255 range of the target map.
• FIG. 4A depicts a diagram 4 illustrative of a non-linear encoding function.
• the diagram comprises an original dynamic range 410 A of 1024 bits and a target dynamic range 420A of 255 bits.
• a signal 430A, 440A having a 1024 bit dynamic range is remapped into
• FIG. 4B depicts a diagram illustrative of a non-linear decoding function associated with the encoding function of FIG. 4A.
• the decoder implements a remapping function having the transfer function depicted in FIG. 4B.
• FIG. 5 depicts a high level function block diagram of an encoding and decoding method and apparatus according to the invention.
• the encoding and decoding method and process comprises a function mapper 530, that is responsive to an information stream SI received from, illustratively, a pixel source 510.
• the function mapper remaps the information stream SI according to various function criteria f c provided by a function criteria source 520 to produce a remapped information stream S3 and an associated map information stream S4.
• the remapped information stream S3 is coupled to an encoder 540 that encodes the remapped information stream S3 in a standard manner to produce an encoded information stream S5.
• the encoded information stream S5 and the map information stream S4 are transported in a standard manner to, respectively, a decoder 550 and an inverse function mapper 560.
• the decoder 550 decodes the transported and encoded information stream in a standard manner to retrieve an information stream substantially corresponding to the initial remapped information stream.
• the inverse function mapper 560 performs, in accordance with the transported map information stream S4, an inverse function mapping operation on the retrieved stream to produce an information stream substantially corresponding to the original information stream. It must be noted that the information stream produced by the inverse function mapper 560 may advantageously include linear and/or non-linear modifications in furtherance of the specific application (e.g., gamma correction and the like).
• the function mapper 530 and inverse function mapper 560 be operate in substantially the same manner as the region map and scale unit 10 and inverse region map and scale unit 60 depicted in FIG. 1.
• the remapping function performed by, e.g., the function mapper 530 or region map and scale unit 10 performs a remapping function according to an arbitrary function.
• TP F(OP,MAX,MIN,TR) (eq. 6)
• the function F may take a number of forms and be implemented in a number of ways.
• the function F may implement: 1) a simple linear function such as described above with respect to FIGS. 1-2; 2) a gamma correction function that varies input video intensity levels such that they correspond to intensity response levels of a display device; 3) an arbitrary polynomial; and 4) a tabulated function (i.e., a function purely described in terms of a lookup table, where each input bit addresses a table to retrieve the contents stored therein.
• a function of the following form may be implemented:
• TP LF[(OP-MIN) ⁇ *TR/(MAX-MIN) ⁇ ]+0.5j (eq. 7)
• a function of the following form may be implemented, assuming that the polynomial segment is never be less than 0 nor greater than the target range:
• the table comprises indexable array of values, where the index values are the original range and the values in the table are included in the target range. This allows any arbitrary mapping between the two ranges. Unless, like gamma correction, that mapping is one-way only (i.e., the remapping is not intended to be "unmapped"), then there an inverse table at the decoder 550 or inverse map and scale unit 60 will restore the original information values.

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